1.1 L
Further explanation
Given:
A rectangular container that has:
- a length of 30 cm,
- a width of 20 cm, and
- a height of 24 cm
It is filled with water to a depth of 15 cm.
When an additional 6.5 L of water are poured into the container, some water overflows.
Question:
How many liters of water overflow the container?
The Process:
Step-1: calculate the volume of rectangular container
[tex]\boxed{ \ V = length \times width \times depth \ }[/tex]
[tex]\boxed{ \ V = 30 \times 20 \times 24 \ }[/tex]
[tex]\boxed{ \ V = 14,400 \ cm^3 \ }[/tex]
The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.
Step-2: calculate the volume of water filled in the container to a depth of 15 cm
[tex]\boxed{ \ V = length \times width \times depth \ }[/tex]
[tex]\boxed{ \ V = 30 \times 20 \times 15 \ }[/tex]
[tex]\boxed{ \ V = 9,000 \ cm^3 \ }[/tex]
The volume of water filled is 9,000³ cm, then converted to 9 L.
Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.
The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.
The volume of water overflow = [tex]\boxed{ \ 9 \ L + 6.5 \ L - 14.4 L \ }[/tex]
Thus, the volume of water overflow of the container is 1.1 L.
Notes:
[tex]\boxed{ \ 1 \ cm^3 = 1 \ mL \ }[/tex]
[tex]\boxed{ \ 1,000 \ cm^3 = 1 \ L \ }[/tex]
[tex]\boxed{ \ 1 \ dm^3 = 1 \ L \ }[/tex]
Learn more
- What is the volume of this rectangular prism? https://brainly.com/question/11613210
- Find out the area of a trapezoid brainly.com/question/2280236
- Find out the area of a cube brainly.com/question/12613605#
Keywords: a rectangular container, has a length of 30 cm, a width of 20 cm, height of 24 cm, is filled with water, to a depth of 15 cm, an additional 6.5 L of water, are poured into the container, some water overflows, the formula, volume
